Icon / Health Services Created with Sketch. Hamilton Primary Care Center Hamilton Primary Care Center is a primary care medical office offering family medicine for adults and children in Hamilton, Alabama. Location: 1256 Military Street S, Hamilton, AL, 35570 Icon / Website Created with Sketch. Visit Website Icon / Ages Created with Sketch. Ages served: Icon / Languages Created with Sketch. Languages spoken: English Icon / Navigation Created with Sketch. Locations served: Marion County Icon / Email and Phone Created with Sketch. Contact info: (205) 921-6496